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An asymptotic‐induced one‐dimensional model to describe fires in tunnels
Author(s) -
Gasser Ingenuin,
Struckmeier Jens
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.337
Subject(s) - mathematics , turbulence , simple (philosophy) , mach number , calculus (dental) , statistical physics , mechanics , physics , medicine , philosophy , dentistry , epistemology
We derive a simple one‐dimensional model for the description of fire events in long vehicle tunnels, which is based on appropriate low‐Mach number asymptotics as well as on averaging procedure along the cross‐section of a tunnel. Turbulent effects are modelled using a phenomenological model. Numerical simulations based on a standard finite‐difference method show the ability of the new model to describe fires in tunnels at least qualitatively. Copyright © 2002 John Wiley & Sons, Ltd.